Limit cycles in four dimensions
- Author(s): Fortin, JF;
- Grinstein, B;
- Stergiou, A
- et al.
Published Web Locationhttps://doi.org/10.1007/JHEP12(2012)112
We present an example of a limit cycle, i.e., a recurrent flow-line of the beta-function vector field, in a unitary four-dimensional gauge theory. We thus prove that beta functions of four-dimensional gauge theories do not produce gradient flows. The limit cycle is established in perturbation theory with a three-loop calculation which we describe in detail. © 2012 SISSA, Trieste, Italy.